Gradutate Record Exam

1. There are two names given JOHNSON and TONY. If one letter is picked from both simultaneously at random, then find the probability that the letter is same?

2.

Given a polygon(an equilateral triangle above a square) as above with 5 sides, if the perimeter of this polygon is 30, then find the area of the polygon?
(@all: this is the appropriate question)

3. There are more than 100 boys in a class, and the 100 have been graded of which 22 are awarded ‘A’ grade. If 25% of total students can be awarded ‘A’ grade, then find the number of ungraded students if all ungraded were awarded ‘A’ grade?

4. Given the median of two classes are as follows.
Median of a class of 45 students = 53
Median of a class of 34 students = 40
Find the median if both classes are combined?

5. If the probability of getting females in a group of people is 3/5, then
Col A: Ratio of male to female in that group
Col B: 3/2

6. If Raymond earns 'd' dollars/hr & works for 'h' hrs and Andrew earns half as that of Raymond, working at the same rate, then find Andrew's earning after 'h+50'hrs in terms of h and d terms?

7. If 40 < x < 49 and x^2 has 6 as unit digit, then
Col A: Value of 'x'
Col B: 45

8. If a wheel 'A' has half the diameter of wheel B, then
Col A: Number of revolutions made by wheel A to cover 5000 miles
Col B: Number of revolutions made by wheel B to cover 2500 miles

9. Given a circle with a marked arc with radius given and asked to compare the area of arc with some value.

10. If 'n' is a positive & odd integer, then
Col A: number of odd numbers below 'n'
Col B: (n-1)/2

11. Given x, y as integers. If A = 896*355*(x-1)(y+2), then
Col A: Value of A
Col B: 0

12. Given an equilateral triangle PQR and a line is drawn dividing two of its sides as 2, 6 at 'S' and 'T' and then asked to find the area of shaded region {given that both PQR and PST are equilateral triangle}.
(Question is similar to this)

13. If the numbers 1, 5, 6, 8 & 9 are used once and are used to form a three digit number 't' and a two digit number 'r', then what is the minimum value of t - r?
A. 56
B. 58
C. 70
D. 73
& so on…

14. If -1 < x < 0, then which of the following is greater?
A. x
B. x^3
C. 1-x^3
& so on.....

15. Col A: Interior angle of a polygon of 5 sides
Col B: Interior angle of a polygon of 6 sides

16. Given two spheres, one sphere 'X' of radius 'x' and other sphere 'Y' of radius 9x.
Col A: Volume of sphere 'X'
Col B: Volume of sphere 'Y'

17. Given a series p1, p2, p3, p4................ If p1 = 1 & pn = 24*p(n-1)+8, then
Col A: The remainder when p66 is divided by 6
Col B: 4
(Here 1, 2, 3, 4, 66, n & n-1 are suffixes)